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Finding the Fourth Proportional to 3,771.76, 5,649.43 and 2,533.68

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Solution

The fourth proportional to 3,771.76, 5,649.43 and 2,533.68 is: 3,795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.76 : 5,649.43 = 2,533.68 : x
  2. Step 2: Convert to fraction form
    3,771.76/5,649.43 = 2,533.68/x
  3. Step 3: Cross multiply
    3,771.76x = 5,649.43 × 2,533.68
  4. Step 4: Simplify right side
    3,771.76x = 14,313,847.80
  5. Step 5: Solve for x
    x = 14,313,847.80/3,771.76
  6. Step 6: Final answer
    x = 3,795.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.